The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds

DOI10.3934/DCDS.2023075zbMath1525.35046arXiv1912.02540MaRDI QIDQ6052981

Chuanfang Wang, Meng Yun Liu

Publication date: 17 October 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02540

zbMATH Keywords

blow-uplifespanStrauss exponentStrauss conjecturepositive entire solutionsasymptotically Euclidean manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations
• Concerning the Strauss conjecture on asymptotically Euclidean manifolds
• Concerning the wave equation on asymptotically Euclidean manifolds
• Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions
• Elliptic partial differential equations of second order
• Blow-up of solutions to critical semilinear wave equations with variable coefficients
• Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass
• Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains
• Global existence for semilinear damped wave equations in relation with the Strauss conjecture
• The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
• Finite time blow up for critical wave equations in high dimensions
• The Strauss conjecture on Kerr black hole backgrounds
• On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case
• Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
• Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
• Weighted Strichartz estimates and global existence for semilinear wave equations
• The Strauss Conjecture on Asymptotically Flat Space-Times
• Long-time existence for semilinear wave equations on asymptotically flat space-times
• Recent progress on the Strauss conjecture and related problems
• Life-Span of Solutions to Critical Semilinear Wave Equations

This page was built for publication: The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds